On the Hochschild (co)homology of Quantum Homogeneous Spaces

Abstract

The recent result of Brown and Zhang establishing Poincare duality in the Hochschild (co)homology of a large class of Hopf algebras is extended to right coideal subalgebras over which the Hopf algebra is faithfully flat, and applied to the standard Podles quantum 2-sphere.

Significant changes, main theorem in v1 was not correct as stated

References in corpus (2)

• The Hochschild cohomology ring of the standard Podles quantum sphere
• The Van den Bergh duality and the modular symmetry of a Poisson variety

Cited by in corpus (3)

• The Hochschild cohomology ring of the standard Podles quantum sphere
• A residue formula for the fundamental Hochschild class of the Podles sphere
• Quantum Dimension and Quantum Projective Spaces